Some integral inequalities for approximately h-convex functions and their applications

Kashuri, Artion ^[1] ; Raees, Muhammad ; Anwar, Matloob
1. [1] University of Vlorë
  
  University of Vlorë
  
  Albania
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 2, 2021, págs. 481-504
Idioma: inglés
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Resumen
- In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder—Íşcan integral inequality three inequalities of Hermite—Hadamard and Hadamard integral type for (h, d)—convex functions have been established. Various special cases including classes for instance, h—convex, s—convex function of Breckner and Godunova—Levin—Dragomir and strong versions of the aforementioned types of convex functions have been identified. Some applications to error estimations of presented results have been analyzed. At the end, a briefly conclusion is given.